Lyapunov stability of an SIRS epidemic model with varying population

27 Dec 2018 · d'Onofrio Alberto, Manfredi Piero, Salinelli Ernesto ·

In this paper we consider an SIRS epidemic model under a general assumption of density-dependent mortality. We prove the global stability of the disease-free equilibrium and propose a Lyapunov function that allows to demonstrate the global stability of the (unique) endemic state under broad conditions.